1375/1372: Difference between revisions

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{{Infobox ~~Interval~~

{{Infobox interval

| Name = ~~moctdel~~ comma

| Name = moctdelisma, moctdelic comma

| Color name = 1or3y3-3, lotriruyo negative 3rd, Lotriruyo comma

| Comma = yes

}}

'''1375/1372''', the '''~~moctdel~~ comma''' is a no-~~threes~~ [[11-limit]] comma with a size of 3.78 [[cent]]s. It is the amount by which a stack of three [[7/5]]s falls short of [[11/4]], undecimal eleventh (one octave above [[11/8]])~~. Some rank-two temperaments such as [[Gamelismic clan|miracle]], [[Ragismic microtemperaments|octoid]] and [[Mirkwai clan|grendel]] temper out this comma, and from this it derives its name.~~

'''1375/1372''', the '''moctdelisma''' or '''moctdelic comma''' is a [[small comma|small]] no-3's [[11-limit]] [[comma]] with a size of 3.78 [[cent]]s. It is the amount by which a stack of three [[7/5]]'s falls short of [[11/4]], the undecimal semi-augmented eleventh (one octave above [[11/8]]).

~~=== Temperaments ===~~

In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals [[55/28]] and three of which equals [[11/4]] as discussed. If we split the generator in 3, we get [[~]][[28/25]] which is notable as the difference between [[5/4]] and [[7/5]] so that two gens finds 5/4, four gens finds [[~]][[25/16]][[~]][[11/7]] and seven gens finds [[~]][[11/5]], which is the (no-3's) 11-limit version of [[didacus]], a very strong temperament of the 2.5.7.11 subgroup.

== ~~See also~~ ==

== Temperaments ==

* [[~~Small~~ comma]]

[[Tempering out]] this comma in the full [[11-limit]] leads to the rank-4 [[moctdelismic]] temperament, and in its minimal prime [[subgroup]] of 2.5.7.11, the [[moctdelic]] temperament. Some rank-2 temperaments such as [[miracle]], [[octoid]] and [[grendel]] temper out this comma, and from this it derives its name.

* [[~~Didacus~~]]

[[Category:~~Moctdel~~]]

In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals [[55/28]] and three of which equals [[11/4]] as discussed. If we split the generator in 3, we get [[~]][[28/25]] which is notable as the difference between [[5/4]] and [[7/5]] so that two gens finds 5/4, four gens finds [[25/16]]~[[11/7]] and seven gens finds [[11/5]], which is the (no-3's) 11-limit version of [[didacus]], a very strong temperament of the 2.5.7.11 subgroup.

See [[Moctdelismic clan]] for the [[clan of temperaments]] where it is tempered out.

[[Category:Moctdelismic]]

[[Category:Commas named by combining multiple temperament names]]

@@ Line 1: / Line 1: @@
-{{Infobox Interval
+{{Infobox interval
-| Name = moctdel comma
+| Name = moctdelisma, moctdelic comma
 | Color name = 1or<sup>3</sup>y<sup>3</sup>-3, lotriruyo negative 3rd, <br>Lotriruyo comma
 | Comma = yes
 }}
-'''1375/1372''', the '''moctdel comma''' is a no-threes [[11-limit]] comma with a size of 3.78 [[cent]]s. It is the amount by which a stack of three [[7/5]]s falls short of [[11/4]], undecimal eleventh (one octave above [[11/8]]). Some rank-two temperaments such as [[Gamelismic clan|miracle]], [[Ragismic microtemperaments|octoid]] and [[Mirkwai clan|grendel]] temper out this comma, and from this it derives its name.
+'''1375/1372''', the '''moctdelisma''' or '''moctdelic comma''' is a [[small comma|small]] no-3's [[11-limit]] [[comma]] with a size of 3.78 [[cent]]s. It is the amount by which a stack of three [[7/5]]'s falls short of [[11/4]], the undecimal semi-augmented eleventh (one octave above [[11/8]]).
-=== Temperaments ===
-In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals [[55/28]] and three of which equals [[11/4]] as discussed. If we split the generator in 3, we get [[~]][[28/25]] which is notable as the difference between [[5/4]] and [[7/5]] so that two gens finds 5/4, four gens finds [[~]][[25/16]][[~]][[11/7]] and seven gens finds [[~]][[11/5]], which is the (no-3's) 11-limit version of [[didacus]], a very strong temperament of the 2.5.7.11 subgroup.
-== See also ==
+== Temperaments ==
-* [[Small comma]]
+[[Tempering out]] this comma in the full [[11-limit]] leads to the rank-4 [[moctdelismic]] temperament, and in its minimal prime [[subgroup]] of 2.5.7.11, the [[moctdelic]] temperament. Some rank-2 temperaments such as [[miracle]], [[octoid]] and [[grendel]] temper out this comma, and from this it derives its name.
-* [[Didacus]]
-[[Category:Moctdel]]
+In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals [[55/28]] and three of which equals [[11/4]] as discussed. If we split the generator in 3, we get [[~]][[28/25]] which is notable as the difference between [[5/4]] and [[7/5]] so that two gens finds 5/4, four gens finds [[25/16]]~[[11/7]] and seven gens finds [[11/5]], which is the (no-3's) 11-limit version of [[didacus]], a very strong temperament of the 2.5.7.11 subgroup.
+See [[Moctdelismic clan]] for the [[clan of temperaments]] where it is tempered out.
+[[Category:Moctdelismic]]
 [[Category:Commas named by combining multiple temperament names]]

1375/1372: Difference between revisions

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